The Application of the Moving Least-square Approximation in the Numerical Simulation of the Higher-order Continuum Problems
CHEN Gen-sheng
YANG Zi-sheng
SUN Yu-zhou
Abstract：The shape function with the high-order continuum is constructed with the moving least-square method, and a mesh-free computational scheme is then established for the bending beams. The proposed method is used to inves-tigate the application of the moving least-square approximation in the numerical simulation of the classical bending beam and high-order continuum bending beam. Some key issues such as the imposition of the boundary conditions are studied and discussed.
Keywords：bending beamhigher-order continuummoving least-square approximationmesh-free methodpenalty method
Publication Date：2015-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 80-84 )